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Finding the Fourth Proportional to 6,649.52, 9,964.85 and 3,689.26

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Solution

The fourth proportional to 6,649.52, 9,964.85 and 3,689.26 is: 5,528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.52 : 9,964.85 = 3,689.26 : x
  2. Step 2: Convert to fraction form
    6,649.52/9,964.85 = 3,689.26/x
  3. Step 3: Cross multiply
    6,649.52x = 9,964.85 × 3,689.26
  4. Step 4: Simplify right side
    6,649.52x = 36,762,879.15
  5. Step 5: Solve for x
    x = 36,762,879.15/6,649.52
  6. Step 6: Final answer
    x = 5,528.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.